All categories

3 years ago

Vertex form of x^2+6x+3

Mathematics

1 answer:

Anastasy [175]3 years ago

8 0

Answer:

y = (x + 3)^2 - 6.

Step-by-step explanation:

The vertex formula is Y = a(x - h)^2 + k.

To find the vertex formula, we need to find h and k, by finding the vertex of x^2 + 6x + 3.

h = -b/2a

a = 1, b = 6.

h = -6 / 2 * 1 = -6 / 2 = -3

k = (-3)^2 + 6(-3) + 3 = 9 - 18 + 3 = -9 + 3 = -6

So far, we have Y = a(x - (-3))^2 + -6, so y = a(x + 3)^2 - 6.

In this case, the coefficient of x^2 of the given formula is 1, which means that a will be 1.

The vertex form of x^2 + 6x + 3 is y = (x + 3)^2 - 6.

To check our work...

y = (x + 3)^2 - 6

= x^2 + 3x + 3x + 9 - 6

= x^2 + 6x + 3

Hope this helps!

You might be interested in

Consider the one-sided confidence interval expressions for the mean of a normal population. Round your answers to 2 decimal plac

ser-zykov [4K]

Answer: a) 0.84 b) 0.67 c) 1.28

Step-by-step explanation:

Using the standard normal distribution table for z-value , we have

(a) The value of $z_{\alpha}$ would result in a 80% one-sided confidence interval : $z_{(1-0.80)}=z_{0.20}=0.8416\approx0.84$

(b) The value of $z_{\alpha}$ would result in a 85% one-sided confidence interval : $z_{(1-0.85)}=z_{0.25}=0.6744897\approx0.67$

(c) The value of $z_{\alpha}$ would result in a 90% one-sided confidence interval : $z_{(1-0.90)}=z_{0.10}=1.2815515\approx1.28$

6 0

3 years ago

Natalie paid $20.7 for 3 small pizzas and a salad which was $3.

zysi [14]

20.70=3p+3
17.70=3p
$5.90=p
So if you only needed the equation to describe the word problem it is
$20.70=3p+3

If you want to know how much each pizza was it is $5.90; salad $3.00

6 0

3 years ago

Can anyone help me please solving this maths problems not sure if. Thanks

Marrrta [24]

The reason you can only compare the numerators is because the denominators are the same- leaving little comparison to really make. The numerators will determine which fraction is greater or smaller.

Ex. 4/5 or 3/5

which is greater? Which is smaller?

It can be seen that the denominators are the same, now finally comparing the numerators will answer both questions.

please vote my answer brainliest. thanks!

5 0

3 years ago

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f

otez555 [7]

Answer:

The sprinkler can spread water 18 feet away.

Step-by-step explanation:

We are given the following in the question:

Area formed by watering pattern = 1,017.36 square feet

We have to find the how far the sprinkler spread the water.

The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.

Area of circle = $A = \pi r^2$

Putting values, we get:

$1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}$

Therefore, the sprinkler can spread water 18 feet away.

6 0

2 years ago

A trash bin has a capacity of 50 gallons. What percentage of its capacity is 5 gallons?

mihalych1998 [28]

Answer:

10%

Step-by-step explanation:

5/50 = 10/100

10/100 = 10%

5 0

3 years ago

Read 2 more answers